Ejercicios De Lógica

1) p ∧ q
p | q | p ∧ q |
1 | 1 | 1 |
1 | 0 | 0 |
0 | 1 | 0 |
0 | 0 | 0 |

2) (p ∧ q) ∧ r
p | q | r | p ∧ q | (p ∧ q) ∧ r |
1 | 1 | 1 | 1 | 1 |
1 | 1 | 0 | 1 | 0 |
1 | 0 | 1 | 0 | 0 |
1 | 0 | 0 | 0 | 0 |
0 | 1 | 1 | 0 | 0 |
0 | 1 | 0 | 0 | 0 |
0 | 0 | 1 | 0 | 0 |
0 | 0 | 0 | 0 | 0 |

3) ¬ p ∧ q
p | q | ¬ p | ¬ p ∧ q |
1 |1 | 0 | 0 |
1 | 0 | 0 | 0 |
0 | 1 | 1 | 1 |
0 | 0 | 1 | 0 |

4) p ∧ ¬ q
p | q | ¬ q | p ∧ ¬ q |
1 | 1 | 0 | 0 |
1 | 0 | 1 | 1 |
0 | 1 | 0 | 0 |
0 | 0 | 1 | 0
|

5) ¬ (p ∧ q)
p | q | p ∧ q |¬ (p ∧ q) |
1 | 1 | 1 | 0 |
1 | 0 | 0 | 1 |
0 | 1 | 0 | 1 |
0 | 0 | 0 | 1 |

6) ¬ p ∧ ¬ q
p q ¬ p ¬ q ¬ p ∧ ¬ q |
1 1 0 0 0 |
1 0 0 1 0 |
0 1 1 00 |
0 0 1 1 1 |

7) p ∨ q
p | q | p ∨ q |
1 | 1 | 1 |
1 | 0 | 1 |
0 | 1 | 1 |
0 | 0 | 0 |

8) ¬ p ∨ q
p | q | ¬ p | ¬ p ∨ q |
1 | 1 | 0 | 1 |
1 | 0 | 0 | 0 |
0 | 1 | 1 |1 |
0 | 0 | 1 | 1 |

9) ¬ (¬ p ∨ q)
p q ¬ p ¬ p ∨ q ¬ (¬ p ∨ q) |
1 1 0 1 0 |
1 0 0 0 1 |
0 1 1 1 0 |
0 0 11 0 |

10) ¬ (p ∧ q) ∨ ¬p
p q p ∧ q ¬ (p ∧ q) ¬ p ¬ (p ∧ q) ∨ ¬ p |
1 1 1 0 0 0 |
1 0 0 1 0 1 |
0 1 0 11 1 |
0 0 0 1 1 1 |

11) p ∨ (¬ q ∧ ¬ p)
p q ¬p ¬ q ¬ q ∧ ¬ p p ∨ (¬ q ∧ ¬ p) |
1 1 0 0 0 1 |
1 0 01 0 1 |
0 1 1 0 0 0 |
0 0 1 1 1 1 |

12) p → q
p | q | p → q |
1 | 1 | 1 |
1 | 0 |0 |
0 | 1 | 1 |
0 | 0 | 1 |

13) ¬ p → q
p q ¬ p ¬ p → q |
1 1 0 1 |
1 0 0 1 |
0 1 1 1 |
0 0 1 0 |

14) ¬ (p → ¬ q)
p q ¬ q p → ¬ q ¬ (p→ ¬ q) |
1 1 0 0 1 |
1 0 1 1 0 |
0 1 0 1 0 |
0 0 1 1 0 |

15) p ↔ q
p | q | p ↔ q |
1 | 1 | 1 |
1 | 0 | 0 |
0 | 1 |...